Structural deformation monitoring under complex boundary constraints using boundary parameter-optimized iFEM
Tianyu Dong, Shenfang Yuan
Abstract. Spacecraft in orbit are gradually developing in the direction of large-scale, complex, and distributed. These aircraft structures will undergo complex thermal deformation because of time-varying and distributed thermal excitation in harsh operating environments. Real-time and accurate structural deformation monitoring is important to ensure the spacecraft’s performance in orbit. The inverse Finite Element Method (iFEM) is the most promising strain-based deformation reconstruction algorithm for the independent of the material properties and external load information. However, iFEM needs to obtain the strain field of the structure and accurately define the geometry dimension and boundary displacements. For large deployable aerospace structures, the special characteristics of the unfolding mechanism lead to complex boundary constraints, leading to low shape-sensing accuracy of iFEM if characterized inaccurately. This paper proposed a shape-sensing method that combined iFEM with boundary parameters optimization to deal with the limitation. Based on the genetic algorithm, the parameters of boundary constraints in iFEM are optimized to achieve an accurate representation of complex boundary constraints and high-precision deformation reconstruction. The numerical experiment of a sub-panel structure with complex boundary constraints of a deployable Space-borne antenna was carried out to validate the effectiveness of the proposed method.
Keywords
Deformation Monitoring, Deployable Structure, Complex Boundary Constraints, Inverse Finite Element Method, Boundary Parameter Optimization
Published online 3/25/2025, 9 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Tianyu Dong, Shenfang Yuan, Structural deformation monitoring under complex boundary constraints using boundary parameter-optimized iFEM, Materials Research Proceedings, Vol. 50, pp 15-23, 2025
DOI: https://doi.org/10.21741/9781644903513-3
The article was published as article 3 of the book Structural Health Monitoring
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] Rai E, Nishimoto S, Katada T, et al. Historical overview of phased array antennas for defense application in Japan, Proceedings of International Symposium on Phased Array Systems and Technology, IEEE. 1996: 217-221. https://doi.org/10.1109/PAST.1996.566088
[2] LENG Guojun，BAO Hong，DU Jingli，et al. Topology optimization with multiple discrete variables in large phased array radar, Journal of Mechanical Engineering. 2013.49 (3) 174-179. https://doi.org/10.3901/JME.2013.03.174
[3] A. Tessler, J.L. Spangler, A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells, Comput. Methods Appl. Mech. Engrg. 194 (2-5) (2005) 327-339. https://doi.org/10.1016/j.cma.2004.03.015
[4] D. Oboe, C. Sbarufatti, M. Giglio, Physics-based strain pre-extrapolation technique for inverse finite element method, Mech. Syst. Signal Process. 177(2022) 109167. https://doi.org/10.1016/j.ymssp.2022.109167
[5] Li T, Liu M, Li J, et al. Full-field deformation reconstruction for large-scale cryogenic composite tanks with limited strain monitoring data, Smart Materials and Structures. 2023, 32(11): 115021. https://doi.org/10.1088/1361-665X/acfde4
[6] Esposito M, Gherlone M. Material and strain sensing uncertainties quantification for the shape sensing of a composite wing box, Mechanical Systems and Signal Processing. 2021 160: 107875. https://doi.org/10.1016/j.ymssp.2021.107875
[7] Huang T, Dong T, Yuan S. A piecewise inverse finite element method for shape sensing of the morphing wing fishbone, Smart Materials and Structures. 2024. https://doi.org/10.1088/1361-665X/ad2c70
[8] Dong T, Yuan S, Huang T. Real-time shape sensing of large-scale honeycomb antennas with a displacement-gradient-based variable-size inverse finite element method, Composite Structures. 2024: 118320. https://doi.org/10.1016/j.compstruct.2024.118320
[9] Tessler A, Roy R, Esposito M, et al. Shape sensing of plate and shell structures undergoing large displacements using the inverse finite element method. Shock Vib. 2018:1-8. https://doi.org/10.1155/2018/8076085
[10] M.A. Abdollahzadeh, H.Q. Ali, M. Yildiz, A. Kefal, Experimental and numerical investigation on large deformation reconstruction of thin laminated composite structures using inverse finite element method, Thin-Walled Struct. 178 (2022)109485. https://doi.org/10.1016/j.tws.2022.109485
[11] Colombo, Luca, C. Sbarufatti, and M. Giglio. “Definition of a load adaptive baseline by inverse finite element method for structural damage identification.” Mechanical Systems and Signal Processing 120 (2019): 584-607. https://doi.org/10.1016/j.ymssp.2018.10.041
[12] Li, Mingyang, et al. “Dent damage identification in stiffened cylindrical structures using inverse Finite Element Method.” Ocean Engineering 198 (2020): 106944. https://doi.org/10.1016/j.oceaneng.2020.106944
[13] Kefal, Adnan, et al. Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures, Computer Methods in Applied Mechanics and Engineering. 391 (2022): 114520. https://doi.org/10.1016/j.cma.2021.114520
[14] Ganjdoust, Faraz, Adnan Kefal, and A. Tessler. A novel delamination damage detection strategy based on inverse finite element method for structural health monitoring of composite structures, Mechanical Systems and Signal Processing. 192 (2023): 110202. https://doi.org/10.1016/j.ymssp.2023.110202
[15] Roy R, Tessler A, Surace C, et al. Efficient shape sensing of plate structures using the inverse Finite Element Method aided by strain pre-extrapolation[J]. Thin-Walled Structures, 2022, 180: 109798. https://doi.org/10.1016/j.tws.2022.109798
[16] D. Poloni, D. Oboe, C. Sbarufatti, M. Giglio, Towards a stochastic inverse finite element method: A gaussian process strain extrapolation, Mechanical Systems and Signal Processing 189 (2023) 110056. https://doi.org/10.1016/j.ymssp.2022.110056
[17] Oboe D, Colombo L, Sbarufatti C, et al. Shape sensing of a complex aeronautical structure with inverse finite element method[J]. Sensors, 2021, 21(4): 1388. https://doi.org/10.3390/s21041388
[18] Colombo L, Oboe D, Sbarufatti C, et al. Shape sensing and damage identification with iFEM on a composite structure subjected to impact damage and non-trivial boundary conditions[J]. Mechanical Systems and Signal Processing, 2021, 148: 107163. https://doi.org/10.1016/j.ymssp.2020.107163
